what is the mass in grams?
a) 3.011 x 10^23 atoms F
b)1.50 x 10^23 atoms Mg
c)4.50 x 10^12 atoms Cl
d)8.42 x 10^18 atoms Br
e) 25 atoms w
f) 1 atom Au
can you please explain a and b to me then i'll come back later and see if i did the rest right? Thanks in advance
Use stochiometry
a) Molar mass F = 19g/mol
so...
(3.011 x 10^23 atoms F) X (1molF/(6.022 x10^23atoms)X (19g/1mol F) = 9.5 g F
(1molF/(6.022 x10^23atoms) = Avogardro's Law can be used in any situation such as this. Use it for the rest of the questions listed in the same way shown above.
but how would the answers by in scientific notations
To calculate the mass in grams for a given number of atoms, you need to use the molar mass of the element. The molar mass is the mass of one mole of a substance and is expressed in grams per mole (g/mol).
To calculate the mass in grams, you can use the following formula:
Mass (g) = Number of atoms × Molar mass (g/mol)
Let's calculate the mass for options a) and b):
a) 3.011 × 10^23 atoms F
First, we need to find the molar mass of fluorine (F). The molar mass of fluorine is approximately 18.998 g/mol.
Using the formula above:
Mass (g) = 3.011 × 10^23 atoms × 18.998 g/mol
Mass (g) = 5.713 × 10^24 g
Therefore, the mass in grams for 3.011 × 10^23 atoms of fluorine is 5.713 × 10^24 g.
b) 1.50 × 10^23 atoms Mg
Similarly, for magnesium (Mg), the molar mass is approximately 24.305 g/mol.
Using the formula:
Mass (g) = 1.50 × 10^23 atoms × 24.305 g/mol
Mass (g) = 3.6525 × 10^24 g
Therefore, the mass in grams for 1.50 × 10^23 atoms of magnesium is 3.6525 × 10^24 g.
Certainly! I'd be happy to help explain how to calculate the mass in grams for options a) and b).
a) 3.011 x 10^23 atoms F:
To find the mass in grams, you need to know the molar mass of the element. The molar mass of an element is the mass of one mole (Avogadro's number, 6.022 x 10^23) of atoms of that element. The molar mass of fluorine (F) is approximately 18.998 grams per mole.
To calculate the mass in grams, you can use the following formula:
Mass (grams) = Number of atoms x Molar mass
For option a), it would be:
Mass (grams) = 3.011 x 10^23 atoms F x (18.998 grams/mol)
b) 1.50 x 10^23 atoms Mg:
Similar to the previous explanation, you need to know the molar mass of magnesium (Mg). The molar mass of magnesium is approximately 24.305 grams per mole.
To calculate the mass in grams, you can use the same formula:
Mass (grams) = Number of atoms x Molar mass
For option b), it would be:
Mass (grams) = 1.50 x 10^23 atoms Mg x (24.305 grams/mol)
By plugging in the numbers into the respective formulas, you can determine the mass in grams for options a) and b). Remember to use scientific notation to represent very large or small numbers.
Feel free to ask if you have any further questions or if you would like help with the remaining options later.